Simplify (left(frac{16}{81}right)^{-frac{3}{4}}times sqrt{frac{100}{81}})
-
A.
(frac{80}{243}) -
B.
(frac{1}{64}) -
C.
(frac{25}{6}) -
D.
(frac{15}{4})
Correct Answer: Option D
Explanation
(left(frac{16}{81}right)^{-frac{3}{4}}times sqrt{frac{100}{81}}\
frac{1}{left(sqrt[4]{frac{16}{81}}right)^3}times frac{10}{9}=frac{1}{left(frac{2}{3}right)^3}timesfrac{10}{9}\
=frac{27}{8}times frac{10}{9}=frac{15}{4})